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Finding the Fourth Proportional to 9,347.06, 12,886.57 and 7,552.54

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Solution

The fourth proportional to 9,347.06, 12,886.57 and 7,552.54 is: 10,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.06 : 12,886.57 = 7,552.54 : x
  2. Step 2: Convert to fraction form
    9,347.06/12,886.57 = 7,552.54/x
  3. Step 3: Cross multiply
    9,347.06x = 12,886.57 × 7,552.54
  4. Step 4: Simplify right side
    9,347.06x = 97,326,335.39
  5. Step 5: Solve for x
    x = 97,326,335.39/9,347.06
  6. Step 6: Final answer
    x = 10,412.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.